Soreeyes Lights are not very expensive. Progressive companies will accommodate people's needs, especially so if they have a doctor's note. E.g. where I work, they removed the washroom air freshener (my request), installed a powered door to accommodate a mobility disability, etc. Your request (to me) is reasonable, you are not asking for lights to be turned off or removed, just that instead of what they have now, they have better quality lights that perhaps you could advise them on which ones you like, so that it is not trial and error.
Some led lights are actually better than cheap cfls.